text: Jurin's law is a quantitative law that shows that the maximum height that can be achieved by a liquid in a capillary tube is inversely proportional to the diameter of the tube. The law can be illustrated mathematically during capillary uplift, which is a traditional experiment measuring the height of a liquid in a capillary tube. When a capillary tube is inserted into a liquid, the liquid will rise or fall in the tube, due to an imbalance in pressure. The characteristic height is the distance from the bottom of the meniscus to the base, and exists when the Laplace pressure and the pressure due to gravity are balanced. One can reorganize to show the capillary length as a function of surface tension and gravity.
  with  the height of the liquid,  the radius of the capillary tube, and  the contact angle.
  The contact angle is defined as the angle formed by the intersection of the liquid-solid interface and the liquid–vapour interface. The size of the angle quantifies the wettability of liquid, i.e., the interaction between the liquid and solid surface. A contact angle of  can be considered, perfect wetting.
  Thus the  forms a cyclical 3 factor equation with .
  This property is usually used by physicists to estimate the height a liquid will rise in a particular capillary tube, radius known, without the need for an experiment. When the characteristic height of the liquid is sufficiently less than the capillary length, then the effect of hydrostatic pressure due to gravity can be neglected.
  Using the same premises of capillary rise, one can find the capillary length as a function of the volume increase, and wetting perimeter of the capillary walls.